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FOCS
1999
IEEE
14 years 3 months ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
ICALP
2004
Springer
14 years 4 months ago
Sublinear-Time Approximation for Clustering Via Random Sampling
Abstract. In this paper we present a novel analysis of a random sampling approach for three clustering problems in metric spaces: k-median, min-sum kclustering, and balanced k-medi...
Artur Czumaj, Christian Sohler
RECOMB
2006
Springer
14 years 11 months ago
A Sublinear-Time Randomized Approximation Scheme for the Robinson-Foulds Metric
The Robinson-Foulds (RF) metric is the measure most widely used in comparing phylogenetic trees; it can be computed in linear time using Day's algorithm. When faced with the n...
Nicholas D. Pattengale, Bernard M. E. Moret
STACS
2007
Springer
14 years 5 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler
ICALP
2005
Springer
14 years 4 months ago
Facility Location in Sublinear Time
Abstract. In this paper we present a randomized constant factor approximation algorithm for the problem of computing the optimal cost of the metric Minimum Facility Location proble...
Mihai Badoiu, Artur Czumaj, Piotr Indyk, Christian...